Double slit experiment: effect of changing wavelength

In summary, the question asked about the effect on the separation and maximum brightness of fringes in Young's double slit experiment when the wavelength is increased to 1.5 times its original value while keeping a and D constant. The separation increases by 1.5 times, but the maximum brightness decreases instead of remaining the same. This could be due to the sensitivity of the eye to different wavelengths, as the brightness may decrease more with the order of the fringe for longer wavelengths. However, the central fringe is likely to have the same brightness for all affected wavelengths, as seen in white light interference.
  • #1
coconut62
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Homework Statement



The question is regarding Young's double slit experiment.

"Describe the effect, if any, on the separation and on the maximum brightness of the fringes when the following changes are made.
...
...
2) The wavelength λ is increased to 1.5λ, keeping a and D constant.

Separation:
Maximum brightness:

Homework Equations



λ=ax/D

The Attempt at a Solution



My answer:

Separation: Increases by 1.5 times
Maximum brightness: Same (Wrong, answer: less bright)

Why would the change in wavelength alter the brightness of the fringes?
 
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  • #2
Sensitivity of the eye to different wavelengths perhaps?
How is brightness defined here?

For a longer wavelength, the brightness of the fringes would probably fall off more with the order of the fringe ... since the light has further to go to reach the screen. But I'd have said the central fringe would have the same brightness for all wavelengths affected - evidence: white light interference: the central fringe is white.
 
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Related to Double slit experiment: effect of changing wavelength

1. What is the double slit experiment?

The double slit experiment is a classic physics experiment that demonstrates the wave-particle duality of light. It involves shining a light source through two parallel slits onto a screen and observing the resulting pattern.

2. How does changing the wavelength affect the double slit experiment?

Changing the wavelength of light in the double slit experiment can affect the interference pattern produced on the screen. Longer wavelengths (such as red light) will result in a wider spacing between the bright and dark fringes, while shorter wavelengths (such as blue light) will produce a narrower spacing.

3. What is the relationship between wavelength and interference pattern in the double slit experiment?

The relationship between wavelength and interference pattern in the double slit experiment is known as the diffraction equation. This equation states that the spacing between the fringes (or interference pattern) is inversely proportional to the wavelength of light.

4. Can the double slit experiment be performed with any type of light?

Yes, the double slit experiment can be performed with any type of light, including visible light, infrared light, and even radio waves. However, the results may vary depending on the wavelength of the light being used.

5. Why is the double slit experiment important?

The double slit experiment is important because it provides evidence for the wave-particle duality of light, which is a fundamental concept in quantum physics. It also has practical applications in fields such as optics and communication technology.

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